For example, if you have the function f(x) = x(adsbygoogle = window.adsbygoogle || []).push({}); _{2}then find:

d/dx_{any number}^{3x}∫ t^{2}dt

Why must the dxin d/dx∫f(t)dt always match the upper limit in order to compute the integral? Why is the lower limit of no concern? I know that you must take chain rule into consideration and change 3x to u, and then do du/dx but why does the upper limit only matter?

Any help would be great!

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# Why must the upper limit match when integrating?

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